Domain and Range (Part 1): Reading Input–Output Ranges from Graphs

This example demonstrates how to determine a function’s domain and range from its graphical representation and related equation/point-set information. It focuses on the key distinctions between the set of allowable input values (domain) and the set of achievable output values (range), helping learners connect formal function mapping ideas with visual interpretation. The construction uses many annotation elements (text1–text14) to label essential conclusions, key symbols, and interval/endpoint information, while the underlying plotted geometry supports the step-by-step reasoning about which x-values are permitted and which y-values are reachable. Suitable for secondary to early undergraduate students, or for classroom instruction, homework explanation, and exploratory learning in function graphs and coordinate geometry topics.